Year-long plan for Geometry CP





Days
Vocabulary
Key Concepts
Textbook Problems
Resources
Notes/Comments
CH 1



P12:1-36

*skip 1.6,1.7 until later
1.1
3
point
line
plane
collinear
coplanar
space
postulate
-Name points, lines, planes
-Use correct notation
-Name intersections
-Identify collinear, coplanar
sets of points, lines
-Sketch and label points,
lines, planes
-Determine whether
statements are always,
sometimes, or never true
P8:13-21
P9:26-39,43-48
P11:57-61
P129:24-29 (need more)
P131:48-49
p13
*include postulates on
P125 at this time
1.2
2
segment
between
congruent seg.
construction
-Apply "M is between P and
Q iff PM+MQ=PQ."
-Distinguish equal, congruent
-Use correct notation and
geometric symbols
-Use algebra to solve seg.
problems
P19:14-19, 21-32
P17: construction
P20:34
*omit measuring with rulers
*omit p22-24
1.3
4
distance
midpoint
seg. bisector
right triangle
legs
hypotenuse
-Find distance on a number
line
-Find the midpoint of a seg.
on number line
-Simplify square roots
-Use algebra to solve seg.
problems
-Identify segment bisector,
congruent segments
-Locate and identify legs
and hypotenuse of rt. tri.
-Apply the Pythagorean
Theorem
-Find distance and midpoint
in the coor.plane (CH 3)
P31:13-30
P32:33-46
P34:68
P30:construction
P34:71
*cover basic Pyth.
Theorem here
*make connection bt
Pythagorean theorem
and distance formula in CH 3
*cover coor. plane in CH 3
*segment bisector,
number line, Pyth theorem
on 1st quiz
*distance and midpt formulas
with coor plane
1.4
2
ray
opposite rays
angle
sides of angle
interior of angle
exterior of angle
vertex
degree
right angle
obtuse angle
acute angle
angle bisector
cong. angles
-Name rays, angles, op. rays
-Measure and classify angles
-Identify angle bisector,
congruent angles
-Use algebra to solve angle
problems
P41:12-29
P42:30-35,37-42
P43:45-46,50-52
P39: construction
P40: construction
P43:49 construction

1.5
3
adjacent angles
linear pair
vertical angles
complementary
supplementary
perpendicular
-Identify and solve problems
involving special angle pairs
-Explain why "Vertical
angles are congruent."
-Solve problems with perp.
lines
-Make correct
assumptions (see P49)
P51:8-17,19-24
P52:31-32,36-41
P53:49-52
P55: construction
DG: pgs 49-50

CH 2

Reasoning and Proof
Inductive reasoning and Conjecture

Deductive reasoning
Project

Cover related
conditionals as
a project

*consider alternative
assessment for CH 2
*No formal two column proofs in
Geometry CP. Emphasize reasoning
and justifying.














2.3
2
conditional
statement
if-then
hypothesis
conclusion
converse
inverse
contrapositive
logically equiv.
biconditional
-Write a conditional in if-then
form
-Write the related
conditionals
-Identify which cond. are
logically equivalent
-Write a conditional as
a biconditional if
appropriate

















CH 3

split into two units



*group 3.1,3.2,
3.5 in one unit
*group 3.3,3.4 in coor. plane
unit
OMIT 3.6
3.1
2
parallel lines
skew lines
parallel planes
transversal
interior angles
exterior angles
cons. int. angles
alt. int. angles
alt. ext. angles
corr. angles
-Identify and name the
relationships between
pairs of angles formed
by a transversal
-Identify and name
relationships between
lines and planes
P174:13-36
P175:38-43,46-50
DG: pg 128

*use consecutive or
same-side? BOTH
*include ss ext? YES
*lines crossed by trans
are not necessarily
parallel in this section
3.2
2

-Discover and apply
key post. & theorems (P179)
-Use algebra to solve
angle problems
P181:11-19
P182:24-29
P183:42,44,46
P177 GSP

3.3
1
slope
rate of change
-Find slope of a line from
a graph
-Know and use slope form.
-Recognize and name 4
different types of slope
(+,-,0, und.)
-Use slope to determine
whether lines are par. or
perp.
P191:12-25,28-33
P192:34-35
P185 lab
2nd unit
3.4
3
slope-intercept form
point-slope form
-Write the equation of a line
in slope-intercept and/or
point-slope form
-Write equations of a line
parallel or perp. to a line
through a point
-Graph lines and write
equation from a graph
-From equations, tell if
lines are par., perp., or
neither
P200:13-30
P201:31-40,43-49
P202:50-53,59

*how much do we want
to use point-slope? A LOT
*omit P204

2nd unit
3.5
2
converses of 3.2
-Discover and apply
key post. and theorems
P205 and P206
-Given select angle
measures, determine
which lines are parallel
-Solve related alg. probs.
P209:8-21
P210:33-35
P211:42-43
P205: construction
1st unit
3.6

OMIT




CH 4





*skip 4.7 or cover later? LATER
*OMIT4.8
*include 5.3,5.5 in this unit
4.1
1.5
acute triangle
equiangular triangle
equilateral triangle
obtuse triangle
right triangle
isosceles triangle
scalene triangle
-Classify triangles by side
and/or angles
-classify tri. in coor. plane
-Solve alg. problems
involving triangle sides
-Sketch each triangle type
and the possible
combinations
P239:15-26,30-37
P240:40-46,49-52
P241:57-64
P240:53 construct.

4.2
1.5
exterior angle
remote int. angles
-Discover and apply
Triangle Angle-Sum theor.
and Ext. Angle Theorem
-Solve algebra problems
involving triangle angles
P248:12-15
P249:17-22,24-29
P250:30-32,36-38
P251:47,49,51
P243 good to do

4.3
1
cong. polygons
corr. parts
cong. statement
-List cong. corr. parts of 2
congruent triangles
-Write a congruence statement
P257:9-16
P260:40-41

*skip algebra probs in this
section? YES
4.4
1.5
included angle
SSS
SAS
-Explore and apply SSS
and SAS
P267:8-11
P268:16-19
P269:30
P264 construction
P265 construction
P269:32 const.
*not many non-proof
problems
*skip algebra probs here? YES
4.5
ext
1.5
included side
ASA
AAS
HL
-Discover and apply ASA
and AAS
-Explore right triangle cong.
-Discover and apply HL
P282:7-9
P273 construction
P281 lab
*helpful table on P276
*only HL is different,
teach only it? YES
*need non-proof problems
4.6
2
legs of isos. tri.
base of isos. tri.
vertex angle
base angles
Isosceles Triangle
Theorem
-Discover and apply
isos. tri. theor. and converse
-Discover and apply
corollaries about equil. tri.
-Solve related algebra probs
P287:9-14
P288:15-22
P289:29-32,38-39
290:49-50
P289:27 const.
P292-293 Inspire

4.7
1
transformation
cong. trans.
preimage
image
reflection
translation
rotation
-Define and recognize the
congruence transformations
-Perform a congruence
transformation in a plane
P297:7-12
P298:17-20
P299:32-36

*Cover at beginning of CH 9
transformations unit
*Students should do
some transformations on
patty paper and Nspire
CH 5





*skip 5.4
*CH 5 is short; combine w
CH 4? Yes
*combine 5.3,5.5
with CH 4
*alternative assessment
of 5.1-5.2
5.1
2
2012-13 OMIT

perp. bisectors
concurrent lines
point of concurrency
angle bisector
-Sketch the perp. bisectors
of a triangle
-Sketch the angle bisectors
of a triangle
P327:9-14
P328:21-26
P321 constructions
*locus is sort of included
here? OMIT locus
*sketching or constructing? to scale
sketching
*sketch practice in handout
5.2
2
2012-13 OMIT

median
altitude
-Sketch the medians
of a triangle
-Sketch the altitudes
of a triangle
P338:5-10
P339:27-30
P332 constructions

5.3
1

-Explore and apply key
theorems (P343,344)
-Given sides, list angle
measures from least to
greatest
-Given 2 angles, list sides
from shortest to longest
P346:8-19
P347:22-36
P348:39-40,46,48

*need more like P348:41
*skip prop. of ineq.

*cover with CH 4
5.5
.5
Tri. Ineq. Theorem
-Discover and apply the
Tri. Ineq. Theorem
P363:6-17
P364:25-26
P365:38-41,45
P359 TI-84
*cover with CH 4
5.6

OMIT



Do not cover
CH 6






1.6
.5
polygon
vertex
concave
convex
n-gon
equilateral
equiangular
regular
-Classify polygons as
convex/concave, regular/not
-Define and identify a polygon
-Name a polygon by # of
sides up to 12
P61:11-16
P63:46-47


6.1
2
exterior angles
Polygon Int. < Sum
Polygon Ext. <
-Discover Interior Angles
Sum Theor.
-Discover Ext.
Angles Sum Theorm
-Apply the Int. and Ext.
< Sum theorems
to regular and irregular poly.
-Solve related algebra probs.
P394:12-19,21-24
P395:30-37,45,46
P398 Excel

6.2
2
parallelogram
diagonal
opposite
consecutive
-Define and sketch a par.
-Discover, explore
key theorems about par. on
P399 and P401
-Solve relate alg. probs.
-Analyze par. in the coor.
plane
-Apply properties of par.
to find missing sides/angles
P403:9-12
P404:15-20
P405:31-37
P406:42,43
P408 TI 84
Cover definitions and flow chart
first before starting properties
6.3
1

-Discover, explore
key theorems about proving
a quad is a par. P409
-Determine whether a
quad must be a par.
-Determine whether a
quad in the coor. plane
is a par.
-Solve related alg. probs.
P414:9-14,18-20
P415:21-27
P415:34 const
*P411 helpful table
6.4
1
rectangle
-Define and sketch a rect.
-Discover that
diagonals of a rect. are
congruent
-Discover that a
par. with cong. diagonals is
a rectangle
-Solve related alg. probs.
-Determine whether a quad
in coor. plane is a rect
-Apply properties of rect
to find missing sides/angles
P422:10-19
P423:22-31,39-40
P423:37 const

6.5
1
rhombus
square
-Define and sketch a
rhombus and square
-Discover key
theorems P426,428
-Apply prop. of rhombus
and square to solve for
missing sides/angles
-Solve related alg. probs.
-Determine if quad. in coor.
plane is a square or rhombus
P431:7-12
P432:19-30
P433:47
P432:39-40 const
*P427: Venn diagram
6.6
3
trapezoid
kite
bases
legs of trapezoid
base angles
isosceles trapezoid
-Define and sketch a kite,
trapezoid, and isos trap
-Discover key
theorems P435,437,439
-Apply prop. of kites, traps,
and isos. traps to find
missing sides/angles
-Solve related algebra probs
-Determine if quad in coor.
plane is kite or trap or isos.
P440:8-15
P441:16-21,24-27,34
P442:35-50,53-57
P443:59-61,67,68

*need more always,
sometime, never practice
CH 7





*skip 7.5
*skip 7.6, covered in CH 9
*skip 7.7 or do as project?
7.1
.5
ratio
proportion
proportional
cross product
equivalent prop.
-Solve a proportion
-Apply a ratio
-Tell whether two or
more fractions are proportional
P461:21-28,31-33
P462:47,48

P460:13-16?
P461:17-20?
7.2
1
similar
similarity ratio
scale factor
similarity statement
-Define and recognize
similar polygons
-Determine if two polygons
are similar
-Write a similarity statement
-Use similarity to find
missing sides/angles/
perimeter
-Discover propotionality
of perimeter of sim shapes
P469:8-15
P470:18-28
P471:29-30,35,36,40-45
P472:53,54

*sim ratio, scale factor or
both?
7.3
.5
AA Sim
SSS Sim
SAS Sim
-Explore AA Sim
-Explore SSS Sim and SAS sim
-Apply key post. and
theorems to show two
triangles similar
-Determine whether triangles
are similar or not
P479:9-11
P480:12-14,16,17

*P478 helpful table
7.4
1
midsegment of tri.
OMIT other than midsegment










CH 8













8.2
1
Pythagorean triple
-Explore and apply Pyth.
Theorem (consider proving)
-Recognize a Pyth. triple
-Discover and apply converse
of Pyth theorem and ineq.
theorems, P544
-Classify a triangle as acute,
right, obtuse from side
lengths
P546:9-12,15-18
P547:21-33
P548:51
P540 hands on
*omit P550-551
8.3
2

-Discover and derive formulas
for 45-45-90 and 30-60-90
triangles
-Find the missing sides of
special right triangles
P556:8-17
P556:18-25,28-33
P557:37-38,41,43

Rationalizing denominators
optional
8.4
1.5
trigonometry
trig ratio
sine
cosine
tangent
inverse sine, cos,
tan
-Memorize and apply trig
ratios
-Use trig to find missing
sides and angles in rt tri.
P567:16-21
P568:22-33,36-41
P569:42-45
P570:57-59
P561 TI-84
*omit P569:47-49?
*omit P572
8.5
1.5
angle of elevation
angle of depression
-Apply trig to word problems
involving angles of elevation
and depression
P577:4-8
P578:all
P579:all

*need some problems
where student provides
picture
CH 9





*cover 4.7 first
*skip 9.4,9.5,tesselations
*skip 9.6, cover with CH 7
9.1
1
line of reflection
-Perform reflections
-Perform reflections in coor.
plan over axes
-Discover patterns in
coordinates as points
are reflected over axes
P619:10-15
P620:18-29


9.2
1

-Perform translations
-Perform translations in
coor. plane
-Discover how to manipulate
coordinates


*can be taught without
vectors
9.3
1
center of rotation
angle of rotation
-Perform rotation
-Perform rotations in coor.
plane
P635:5-10
P636:14-19
P637:37
P631: hands on

CH 10






10.1
.5
circle
center
radius
chord
diameter
congruent circles
concentric circles
circumference
pi
-Identify and name the parts
of a circle
-Find the circumference of
a circle
-Define and identify cong.
and concentric circles
-Relate radius, diameter,
and circumference
-Find circumference using
inscribed/circumscribed
shapes
P687:10-17
P688:18-21,28-33,36-39
P689:51


10.2
.75
central angle
arc
arc length (CH 11)
minor arc
major arc
semicircle
congruent arcs
adjacent arcs
-Identify, name and measure
arcs and central angles
-Find arc length (cover in
CH 11)
-Discover and apply
theorem 10.1, P693
-Apply Arc Addition Post.
-Solve related alg. probs.
P696:12-15
P697:16-23,26-41
P698:45-50,52
P699:56-58

arc length in CH 11 instead







10.4
1.5
inscribed angle
intercepted arc
inscribed polygon
-Explore and apply inscribed
angle theorem and other key
theorems, P710,711,712
P713:11-13
P714:14-31
P715:36-40

*students will need more
practice
10.5
.5
tangent
point of tangency
common tangent
circumscribed poly.
-Explore and apply theorem
10.10, P719
-Apply theorem
10.11, P720
-Find the perimeter of a
circumscribed polygon
-find measure of angle
formed by tangent/secant
P722:9-16
P723:17-22,24-29
P724:35,39
P720:construction















10.8
1
Equations of Circles



Covered in College Algebra
CH 11





*Cover 1.6 perimeter and area
first
*Cover arc length
1.6
.5
perimeter
area
-Find perimeter and area
of squares and rectangles
-Solve related word problems
-Given P or A and some
dimensions, find missing one
-Find P and A in coor. plane



11.1
1
base of par./tri.
height of par./tri.
-Find the perimeter and area
of parallelograms and
triangles
-Explore postulates on P763,
P765
-Given area and base or
height, find missing base
or height
-Use trig or special triangles
to find missing height
-Solve word problems
related to perimeter and area
-Find area of shape in
coor. plane
P767:10-15
P768:17-22,24-27,30-32
P769:33-34,39-40
P771 TI NSpire
*exact form won't work
when using trig
*need some problems where
Pyth. Theorem is used
11.2
1
height of trapezoid
bases of trapezoid
-Find perimeter and area of
trapezoids
-Given area and all but one
dimension, find missing
dimension
-Use trig or special rt. tri.
to find missing height
-Solve word problems
related to perimeter and area
-Find area of shape in
coor. plane
P777:8-13
P778:18-21,23-24,26-27
P779:35,36,38

*Area of Rhombus/Kites? OMIT
*Helpful table P776
*omit dimensional analysis
11.3
1
sector of a circle
-Find the area of a circle
-Find the area of a sector
of a circle
-Given area of a circle, find
r or d
-Find arc length
P785:14-23
P786:27-29,32-37
P787:40-42,45,46


11.4
2
center of reg. poly.
radius of reg. poly.
apothem
central angle
composite figure
-Find the area of a regular
polygon using trig
-Find the area of composite
figures
P795:8-9
P796:10-13,15-20
P797:22-24

*omit P800-801
Use trig for all
11.5
1

-Discover relationship
between area of similar
shapes
-Find the area of similar
shapes utilizing the scale
factor
-Given areas of similar
shapes, find scale factor
and missing dimensions
-Solve related word problems
P805:6-13
P806:14-15


CH 12


*derive formulas when
possible

P821 drawing solids by hand
*Cover 1.7 first
1.7
1
polyhedron
face
edge
vertex
prism
base
pyramid
cylinder
cone
sphere
surface area
volume
-Identify, name, and
analyze 3-D solids
P71:6-17

*omit platonic solids
*omit formulas, to be covered
in next sections
12.2
1

-Find surface area of right
prisms and cylinders
P834:9-22
P835:24-27
P836:35-37


12.3
1
regular pyramid
slant height
right cone
-Find
surface area of reg.
pyramids and right cones
P843:7-12
P844:14-17,23-25
P845:33-34

*helpful table P842
12.4
1

-Find volume of prisms
and cylinders
-Given volume and some
dimensions, find missing one
-Find the volume of
composites
P850:10-15
P851:16-19,21
P852:28-30,32-34

*cover composites after
12.5
1

-Find volume of regular
pyramids and cones
-Given volume and some
dimensions, find missing one
-Find the volume of
composites
P860:10-16
P861:17-22,26-28
P862:32-34

*helpful table P859
12.6
.5 SA
.5 V
great circle
hemisphere
-Find SA and V of spheres
and hemispheres
-Find V and SA of
composites with spheres
and hemispheres
P868:10-25
P869:29-30

*cover SA with SA sections
*cover V with V sections
12.8
2
similar solids
-Discover relationship
between SA and V of similar
solids
-Find SA or V of similar
solids using scale factor
-Given SA or V of similar
solids, find scale factor
and missing dimensions
P883:6-13
P884:20-21



[[Geometry P 10-11#|help on how to format text]]
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